Find left parenthesis 3 Bold u right parenthesis times Bold v for the given vectors.

Bold u equals 2 Bold i minus Bold j plus 3 Bold k​, Bold v equals negative 3 Bold i plus 4 Bold j plus 3 Bold k
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Part 1
Select the correct choice below and fill in the answer​ box(es) within your choice.
A.
The answer is a vector. left parenthesis 3 Bold u right parenthesis times Bold vequalsa Bold i plus b Bold j plus c Bold k where aequals
  
enter your response here​, bequals
  
enter your response here​, and cequals
  
enter your response here.
​(Type integers or simplified​ fractions.)
B.
The answer is a scalar. left parenthesis 3 Bold u right parenthesis times Bold vequals
  
enter your response here.
​(Type an integer or simplified​ fraction.)

A.

The answer is a vector. \(3\mathbf{u} \cdot \mathbf{v} = 11\mathbf{i} + 2\mathbf{j} - 9\mathbf{k}\).